Evaluate $\int_{0}^{\tfrac{\pi }{4}}{{{\sec }^{2}}\theta d\theta }$

Evaluate $\int_{1}^{2}{({{x}^{2}}-4x)dx}$

Find $\frac{dy}{dx}$if y = cos x 

If  $y={{x}^{2}}-\tfrac{1}{x},$find $\tfrac{dy}{dx}$

A man stands on a tree 150cm high and see a boat at an angle of depression of 74^o, Find the distance of the boat from the base of the tree.

If angle θ is 135^o, evaluate cos θ

Find the equation of the line through the points  (–2, 1) and (–½, 4)

The distance between the point (4,3) and the intersection of y = 2x + 4 and y = 7 – x

The gradient of the straight line joining the point P(5, –7) and Q(–2, –3) is

The locus of a point equidistant from the intersection of lines $3x-7y+7=0$and $4x-6y+1=0$ is a